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Finding the Fourth Proportional to 216,089.66, 298,224.43 and 120,605.24

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Solution

The fourth proportional to 216,089.66, 298,224.43 and 120,605.24 is: 166,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,089.66 : 298,224.43 = 120,605.24 : x
  2. Step 2: Convert to fraction form
    216,089.66/298,224.43 = 120,605.24/x
  3. Step 3: Cross multiply
    216,089.66x = 298,224.43 × 120,605.24
  4. Step 4: Simplify right side
    216,089.66x = 35,967,428,954.01
  5. Step 5: Solve for x
    x = 35,967,428,954.01/216,089.66
  6. Step 6: Final answer
    x = 166,446.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.